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If x=11, solve (x+44)/2x.
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct Answer: B
Rationale: Given x=11, substitute into the expression: (11 + 44) / (2*11) = 55 / 22 = 2.5. Therefore, the correct answer is 2.5.
Choice A (33) is incorrect as it does not represent the correct calculation. Choice C (13) is incorrect as it is not the result of the expression. Choice D (55/22) is incorrect as it is the same as the simplified form of the expression, not the answer to the calculation.
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If Andy runs five times as long as Jake, and Jake runs 24.5 miles each week, how many miles does Andy run in a day?
- A. 17.5
- B. 17.7
- C. 16.5
- D. 18.2
Correct Answer: A
Rationale: To find how many miles Andy runs in a day, we need to calculate the distance Andy runs in a week. Since Andy runs five times as long as Jake, Andy runs 5 * 24.5 = 122.5 miles per week. To convert this to miles per day, we divide by 7 (days in a week): 122.5 / 7 = 17.5 miles per day. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not accurately reflect the calculation based on the given ratio.
A car travels 60 miles per hour for 2.5 hours. How far does the car travel?
- A. 120 miles
- B. 150 miles
- C. 180 miles
- D. 170 miles
Correct Answer: A
Rationale: To find the total distance traveled, multiply the speed of the car (60 miles per hour) by the time it traveled (2.5 hours): 60 miles/hour * 2.5 hours = 150 miles. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not correctly calculate the total distance traveled by the car.
A marathon runner completes 21.6 miles and burns 2,274 calories. What is the rate of calories burned per mile?
- A. 105.28
- B. 105.37
- C. 105.45
- D. 105.55
Correct Answer: A
Rationale: To find the rate of calories burned per mile, you divide the total calories burned by the total miles run: 2274 calories / 21.6 miles = 105.28 calories per mile. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not match the calculated value. The rate of calories burned per mile is a precise calculation based on the given values, and only choice A aligns with the correct calculation.
A patient is prescribed 500 mg of medication, but the available tablets are 250 mg each. How many tablets should be given?
- A. 3 tablets
- B. 2 tablets
- C. 4 tablets
- D. 5 tablets
Correct Answer: B
Rationale: To find out how many tablets of 250 mg are needed to reach a total of 500 mg, you divide the total prescribed dosage by the dosage per tablet. In this case, 500 mg / 250 mg per tablet = 2 tablets. Therefore, the correct answer is 2 tablets. Choice A (3 tablets) is incorrect because it would exceed the prescribed dosage. Choices C (4 tablets) and D (5 tablets) are incorrect as they would also provide more medication than needed.
An artist sells paintings at $5.50 each. She has 7 stands and pays $35 per stand. What is her profit if she sells an average of 11 paintings per stand?
- A. $245
- B. $178.50
- C. $175
- D. $423.50
Correct Answer: B
Rationale: To calculate the profit, first determine the total revenue: 7 stands * 11 paintings per stand * $5.50 per painting = $423.50. Then, subtract the total stand expenses ($35 per stand * 7 stands = $245) from the total revenue to get the profit: $423.50 - $245 = $178.50. Therefore, the correct answer is $178.50. Option A is incorrect because it does not account for the stand expenses. Option C is incorrect as it does not consider the total revenue. Option D is incorrect as it overestimates the profit by not deducting the stand expenses.